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Finding the Fourth Proportional to 828.56, 1,143.38 and 497.00

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Solution

The fourth proportional to 828.56, 1,143.38 and 497.00 is: 685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.56 : 1,143.38 = 497.00 : x
  2. Step 2: Convert to fraction form
    828.56/1,143.38 = 497.00/x
  3. Step 3: Cross multiply
    828.56x = 1,143.38 × 497.00
  4. Step 4: Simplify right side
    828.56x = 568,263.96
  5. Step 5: Solve for x
    x = 568,263.96/828.56
  6. Step 6: Final answer
    x = 685.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.